论文标题
逆源问题和一般维度中的四阶抛物线方程的延续
Inverse source problem and the continuation for a fourth-order parabolic equation in general dimensions
论文作者
论文摘要
在本文中，对于与Cahn-Hilliard方程密切相关的四阶抛物线方程，我们通过内部数据研究一个反向源问题，并从外侧Cauchy数据中延续了溶液。我们的方法依赖于卡尔曼估计，并证明了这两个问题的有条件稳定性。
In this article, for a fourth-order parabolic equation which is closely related for example to the Cahn-Hilliard equation, we study an inverse source problem by interior data and the continuation of solution from lateral Cauchy data. Our method relies on a Carleman estimate and proves conditional stability for both problems.
